On sufficient conditions for convergence of formal solutions (Q1080045)
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scientific article; zbMATH DE number 3966808
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On sufficient conditions for convergence of formal solutions |
scientific article; zbMATH DE number 3966808 |
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On sufficient conditions for convergence of formal solutions (English)
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1985
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L'auteur donne des conditions suffisantes de convergence de solutions formelles d'équations aux dérivées partielles dans \(C^ 2\) obtenues comme polynômes à coefficient analytiques des champs de vecteurs \((x_ 1 \partial_{x_ 1})\) et \((x_ 2 \partial_{x_ 2})\) vérifiant des conditions du type de Fuchs. Il généralise ainsi des résultats de \textit{M. Kashiwara, T. Kawai} et \textit{J. Sjöstrand} [Ark. Mat. 17, 83-91 (1979; Zbl 0411.35003)].
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convergence of formal solutions
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diophantine function
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0.95645916
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0.9231323
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0.9220985
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0.9207769
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0.9071489
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0.9067361
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